Pontryagin's Maximum Principle for Optimal Control of Vibrations of Two Nonlinear Gao Beams

被引:0
|
作者
Wang, Yang-Yang [1 ]
Sun, Bing [1 ,2 ]
机构
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing 100081, Peoples R China
基金
中国国家自然科学基金;
关键词
CONTACT PROBLEMS; DYNAMIC BEAM; SIMULATIONS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper is concerned with optimal control of vibrations of two uniform elastic or viscoelastic nonlinear Gao beams that are connected with a joint. The dynamic contact is modeled with the Signorini non-penetration or unilateral conditions in which the stops are assumed to be perfectly rigid. By the Dubovitskii and Milyutin functional analytical approach, we derive the Pontryagin maximum principle for the optimal control problem with equality and multiple inequality constraints in fixed final horizon case.
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页码:913 / 918
页数:6
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